Abstract
“Classical" optical tweezers employ one single laser beam that is strongly focussed by one lens. In spite of a long list of advantages, which are discussed comprehensively in Chap. 2, there are a number of situations where the requirement for high numerical aperture objectives is a serious obstacle or where the inherent asymmetry of the configuration is an issue. One well known solution is counter-propagating optical traps, which are widely used where long working distances, axially symmetric trapping potentials, or standing light waves are desired.
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Notes
- 1.
- 2.
Remember that numerical aperture NA and focal length are connected as \({\rm NA}=n \sin(\Uptheta/2)=n\sin\arctan(a/f)\approx na/f\) for a lens with the aperture angle \(\Uptheta\) and the aperture diameter \(2a\) (Born and Wolf 1986).
- 3.
The term “\({\rm cc}\)” indicates the complex conjugate, necessary to describe a real wave in the mathematical and physical sense.
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Woerdemann, M. (2012). Counter-Propagating Traps by Optical Phase-Conjugation. In: Structured Light Fields. Springer Theses. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-29323-8_4
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